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Finding the Fourth Proportional to 3,038.70, 4,560.93 and 1,578.90

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Solution

The fourth proportional to 3,038.70, 4,560.93 and 1,578.90 is: 2,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.70 : 4,560.93 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    3,038.70/4,560.93 = 1,578.90/x
  3. Step 3: Cross multiply
    3,038.70x = 4,560.93 × 1,578.90
  4. Step 4: Simplify right side
    3,038.70x = 7,201,252.38
  5. Step 5: Solve for x
    x = 7,201,252.38/3,038.70
  6. Step 6: Final answer
    x = 2,369.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.